Existence of solutions to nonlocal and singular elliptic problems via Galerkin method

Autor: Francisco Julio S. A. Correa, Silvano D. B. Menezes
Jazyk: angličtina
Rok vydání: 2004
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2004, Iss 19, Pp 1-10 (2004)
Druh dokumentu: article
ISSN: 1072-6691
Popis: We study the existence of solutions to the nonlocal elliptic equation $$ -M(|u|^2)Delta u = f(x,u) $$ with zero Dirichlet boundary conditions on a bounded and smooth domain of $mathbb{R}^n$. We consider the $M$-linear case with $fin H^{-1}(Omega )$, and the sub-linear case $f(u)=u^{alpha}$, $0
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